Pergunta

Dados o s vetores overrightarrow (u)=(2,3,1) overrightarrow (v)=(0,4,-3) , determinar: (a) overrightarrow (u)+overrightarrow (v) (b) 2overrightarrow (u)-overrightarrow (v) (c) overrightarrow (u)cdot overrightarrow (v) Vert overrightarrow (u)Vert +Vert overrightarrow (v)Vert
Solução

4.1268 Voting

Clara BeatrizProfissional · Tutor por 6 anos
Responder
(a) $\overrightarrow{u} + \overrightarrow{v} = (2, 3, 1) + (0, 4, -3) = (2, 7, -2)$<br /><br />(b) $2\overrightarrow{u} - \overrightarrow{v} = 2(2, 3, 1) - (0, 4, -3) = (4, 6, 2) - (0, 4, -3) = (4, 2, 5)$<br /><br />(c) $\overrightarrow{u} \cdot \overrightarrow{v} = (2, 3, 1) \cdot (0, 4, -3) = 2 \cdot 0 + 3 \cdot 4 + 1 \cdot (-3) = 0 + 12 - 3 = 9$<br /><br />$\Vert \overrightarrow{u} \Vert + \Vert \overrightarrow{v} \Vert = \sqrt{2^2 + 3^2 + 1^2} + \sqrt{0^2 + 4^2 + (-3)^2} = \sqrt{14} + \sqrt{25} = \sqrt{14} + 5$
Clique para avaliar: